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Finding the Fourth Proportional to 47,817.90, 65,984.07 and 27,670.77

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Solution

The fourth proportional to 47,817.90, 65,984.07 and 27,670.77 is: 38,182.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,817.90 : 65,984.07 = 27,670.77 : x
  2. Step 2: Convert to fraction form
    47,817.90/65,984.07 = 27,670.77/x
  3. Step 3: Cross multiply
    47,817.90x = 65,984.07 × 27,670.77
  4. Step 4: Simplify right side
    47,817.90x = 1,825,830,024.63
  5. Step 5: Solve for x
    x = 1,825,830,024.63/47,817.90
  6. Step 6: Final answer
    x = 38,182.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.